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Representation of completely positive maps between partial *-algebras

✍ Scribed by G. O. S. Ekhaguere

Publisher
Springer
Year
1996
Tongue
English
Weight
455 KB
Volume
35
Category
Article
ISSN
0020-7748

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We construct a covariant functor from the category whose objects are the complex, infinite dimensional, separable Hilbert spaces and whose morphisms are the contractions into the category whose objects are the unital C\*-algebras and whose morphisms are the completely positive, identity-preserving m

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## Abstract The paper is concerned with completely positive maps on the algebra of unbounded operatore __L__+(__D__) and on its completion __L__(D, D^+^). A decomposition theorem for continuous positive functionals is proved in [Tim. Loef.), and [Scholz 91] contains a generalization to maps into op